Get the answer to "How to evaluate cos⁡(π4)−(π4)sin⁡(π4)?"

gibbokf5

Answered question

2023-01-06

How to evaluate

\cos (\frac{π}{4}) - (\frac{π}{4}) \sin (\frac{π}{4})

popol48w

Beginner2023-01-07Added 6 answers

Given :

r (\frac{π}{4}) = \cos (\frac{π}{4}) - (\frac{π}{4}) \sin (\frac{π}{4})

Evaluate:
Solution :

r (π) = \frac{\sqrt{2}}{2} - \frac{π}{4} \frac{\sqrt{2}}{2} = \frac{\sqrt{2}}{2} (1 - \frac{π}{4}) = \frac{\sqrt{2}}{2} \frac{(4 - π)}{4}

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